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Finding the Third Proportional to 115,431 and 247,287

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Solution

The third proportional to 115,431 and 247,287 is: 529,761.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,431 : 247,287 = 247,287 : x
  2. Step 2: Convert to fraction form
    115,431/247,287 = 247,287/x
  3. Step 3: Cross multiply
    115,431x = 247,287 × 247,287
  4. Step 4: Simplify right side
    115,431x = 61,150,860,369
  5. Step 5: Solve for x
    x = 61,150,860,369/115,431
  6. Step 6: Final answer
    x = 529,761.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.